Let $\Sigma_k$ be the permutation group of order $k$. Let $F$ be a field. What is the cohomology $$ H^*(\Sigma_k;F)=H^*(K(\Sigma_k,1);F)=H^*(B\Sigma_k;F)? $$
For $F=\mathbb{Z}/p\mathbb{Z}$ for prime $p\leq k$?
2026-03-28 07:00:14.1774681214
group cohomology of permutation groups
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